Line Graph Sample Paper for CLAT 2021 Quantitative Techniques
Line Graph Sample Paper for CLAT 2020 Quantitative Techniques
Question 1: The Data for the consumption of Tea and Coffee from 1990 to 2020 in million tones is given. Read the graph carefully and answer the questions accordingly.
In how many years the consumption of tea is more than coffee?
3 (b) 4 (c) 5 (d) 6
What is the change in tea and coffee consumption from 1995 to 2020?
74%, 77% (b) 84%, 87% (c) 85%, 77% (d) 74% , 88%
In which year there is the highest percentage increase in consumption of both Tea and Coffee together?
2000 (b) 1995 (c) 2005 (d) 2010
For the data series shown, how many times there is a decrease in the consumption of tea and coffee both individually.
2 (b) 5 (c) 3 (d) 4
Find the ratio of highest consumption in any year to the highest total consumption of the two together.
1/2 (b) 5/9 (c) 4/5 (d) 2/3
Question 2: The Number of students from different academic backgrounds taking admission in Law colleges from 19921998 have been given, Answer the questions based on the given data only.
2.1 In 1994 what is the percentage of science background students taking admission in LAW Schools?
(a) 20% (b) 26% (c) 23% (d) 27%
2.2 In which year the number of students reached 250?
(a) 1993 (b) 1994 (c) 1995 (d) 1996
2.3 In which year percentage growth in the number of students is highest?
(a) 1993 (b) 1995 (c) 1996 (d)1998
2.4 What is the percentage of arts and commerce student together with respect to the total number of students in the year 1996?
(a) 65% (b) 75% (c) 55% (d) 77%
2.5 What is the percentage of arts and commerce student together with respect to the total number of students?
(a) 76% (b) 67% (c) 75% (d) 65%
Answers and Solutions:
Answer: (a) 3
Solution: This is a simple observation based question that doesnâ€™t need any calculation; just focus on points where tea consumption (blue dot) is above coffee (orange dot)
Answer: (b)
Solution: Change in consumption from 1995 to 2020; just do straight percentage calculation for the answer. Donâ€™t get confused with the shuffled answers of both commodities.
Percentage change in tea consumption = (35 â€“ 19) *100 / 19 = 84.77 %
Percentage change in coffee consumption = (15 â€“ 23)*100 / 15 = 86.6667%
Both the answers together will give option b as answer.
Answer: (a) 2000
Solution: For the highest percentage increase in tea and coffee consumption together, add the yearly consumption of both and then calculate the yearly percentage increase.
You can do the write the sum of both directly on the graph itself but make sure you donâ€™t mess it up.
Year  Tea  Coffee  Sum of both  Percentage Change 
1990  20  23  43 

1995  19  15  34  21% 
2000  23  19  42  24% 
2005  22  27  49  17% 
2010  25  29  54  10% 
2015  27  32  59  9% 
2020  35  28  63  7% 
Table 1. 1
From the table, you can see the highest percentage change is in 2000
Answer: (d) 4
Solution: Again an observationbased question, count the number of times both tea and coffee saw a decline in consumption and thatâ€™s your answer. Here decline in tea happened twice: 1995 & 2005 and a decline in consumption of Coffee happened twice in 1995 & 2020. Hence answer is 4.
Answer: (b) 5/9
Solution: Highest consumption in any year by any commodity (doesnâ€™t matter its tea or coffee) = 35
Total highest consumption = 35+28 = 63
Ratio = 35 / 63 = 5/9
Note: If you read the question 2 completely, you will see that the question is calculationintensive(sum and percentages with different conditions), therefore it is advised to at least sum up the total number of students and simultaneously calculate percentage with the question.
A table with all the calculations is given below for your reference. All the calculations are based on this table only.
Year  Arts  Commerce  Science  Total number of students  Percentage Growth 
1992  50  70  30  150   
1993  65  95  40  200  33% 
1994  70  90  55  215  8% 
1995  85  115  50  250  16% 
1996  90  135  75  300  20% 
1997  110  130  85  325  8% 
1998  125  165  105  395  22% 
Total Number of students(stream wise)  595  800  440  1835 

Table 2. 1
2.1 Answer: (b) 26%
Solution: Number of law students with science background in 1994 = 55
Total number of students in 1994 = 215
Percentage of science background students in 1994 = 55 * 100 /215 = 25.58% â‰ˆ 26%
Note: There are close options in question hence you should do the whole calculation, using Tricks can make answer wrong.
2.2 Answer: (c) 1995
Solution: Observationbased question, you would have done the sum in the initial stage only.
Total = Arts + Commerce+Science students
85+115+50 = 250
2.3 Answer: (a) 1993
Solution: For this question, you will need to refer to the table 2.1 as you will need the calculation of the total number of students for all the year with percentages wrt to the previous year as this is a comparative question.
2.4 Answer: (b) 75%
Solution: No. of Arts background student in 1996 = 90
No. of Commerce background student in 1996 = 135
Sum of Arts and Commerce Background Student = 90 + 135 = 225
Total Number of students in1996 = 300
Percentage of Arts and Commerce student in 1996 = 225*100/300 = 75%
2.5 Answer: (a) 76%
Solution: Similar to previous question, add number of students of both arts and commerce background and calculate the percentage wrt to total number of students across the years.
For calculation refer to table 2.1.
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First published on March 18, 2020.Â